10-2(x+1)=4x+2

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Solution for 10-2(x+1)=4x+2 equation: 


Simplifying
10 + -2(x + 1) = 4x + 2

Reorder the terms:
10 + -2(1 + x) = 4x + 2
10 + (1 * -2 + x * -2) = 4x + 2
10 + (-2 + -2x) = 4x + 2

Combine like terms: 10 + -2 = 8
8 + -2x = 4x + 2

Reorder the terms:
8 + -2x = 2 + 4x

Solving
8 + -2x = 2 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
8 + -2x + -4x = 2 + 4x + -4x

Combine like terms: -2x + -4x = -6x
8 + -6x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -6x = 2 + 0
8 + -6x = 2

Add '-8' to each side of the equation.
8 + -8 + -6x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = 2 + -8
-6x = 2 + -8

Combine like terms: 2 + -8 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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